Absolutely continuous spectrum of multidimensional Schrodinger operator

2004/08/26 by Sergey A. Denisov, S. A. Denisov, Denisov, S. A.
Mathematics · Physics and Astronomy · #35P25 #Analysis of PDEs (math.AP) #Differential Equations and Boundary Problems #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Numerical methods in inverse problems #Spectral Theory in Mathematical Physics #math-ph #math.AP #math.MP #msc:35P25

paper · pdf · doi:10.48550/arxiv.math/0408376

arxiv created 2004/08/26 · openalex publication_date 2004/08/26 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We prove that 3-dimensional Schrodinger operator with slowly decaying potential has an absolutely continuous spectrum that fills the positive half-line. The asymptotics of Green's function is obtained as well.

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